MATH SOLVE

3 months ago

Q:
# Which ordered pairs are on the line with equation y−0.75=1.25(x−3)?Select each correct answer. (Multiple choice question.) (4,2) (1,1.75) (7,5.5) (−4,−8)

Accepted Solution

A:

Replace x and y of the equation with the x- and y-coordinates, respectively, of each pair in the choices. If the equation becomes a true statement, then that ordered pair is on the line.

A. (4, 2)

y − 0.75 = 1.25(x − 3)

2 - 0.75 = 1.25(4 - 3)

1.25 = 1.25(1)

1.25 = 1.25

Since 1.25 = 1.25 is a true statement, the ordered pair (4, 2) is on the line.

B. (1, 1.75)

y − 0.75 = 1.25(x − 3)

1.75 - 0.75 = 1.25(1 - 3)

1 = 1.25(-2)

1 = -2.5

Since 1 = -2.5 is a false statement, the ordered pair (1, 1.75) is not on the line.

Now try the same process for options C and D.

A. (4, 2)

y − 0.75 = 1.25(x − 3)

2 - 0.75 = 1.25(4 - 3)

1.25 = 1.25(1)

1.25 = 1.25

Since 1.25 = 1.25 is a true statement, the ordered pair (4, 2) is on the line.

B. (1, 1.75)

y − 0.75 = 1.25(x − 3)

1.75 - 0.75 = 1.25(1 - 3)

1 = 1.25(-2)

1 = -2.5

Since 1 = -2.5 is a false statement, the ordered pair (1, 1.75) is not on the line.

Now try the same process for options C and D.